Corner Detection in Manifold-valued Images and in Vector Fields

Aleksei Shestov; Mikhail Kumskov

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Paper

Corner Detection in Manifold-valued Images and in Vector Fields

Topics: Color and Texture Analyses; Features Extraction; Shape Representation and Matching

In Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 4: VISAPP, 405-411, 2020 , Valletta, Malta

Authors: Aleksei Shestov and Mikhail Kumskov

Affiliation: Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 1 Leninskiye Gory, Moscow, Russia

Keyword(s): Corner Detection, Manifold-valued Images, Vector Fields, Vector Bundles.

Abstract: This paper is devoted to the problem of corner detection in manifold-valued images and in vector fields on manifolds. Our solution is a generalization of the Harris corner detector (C. Harris, 1988). As in the grayscale case, our algorithm is based on an estimation of a self-similarity of a point neighborhood. We define the self-similarity for the general cases and obtain approximations of it by an action of a bilinear form. This form can be viewed as a generalization of the structure tensor (M. Kass, 1987). The generalized structure tensor is then used as usual in the corner detection procedure. Finally, we describe future experiments: the algorithm will be tested on a task of chemical compounds classification.

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Paper citation in several formats:

Shestov, A. and Kumskov, M. (2020). Corner Detection in Manifold-valued Images and in Vector Fields. In Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 4: VISAPP; ISBN 978-989-758-402-2; ISSN 2184-4321, SciTePress, pages 405-411. DOI: 10.5220/0009102304050411

@conference{visapp20,
author={Aleksei Shestov. and Mikhail Kumskov.},
title={Corner Detection in Manifold-valued Images and in Vector Fields},
booktitle={Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 4: VISAPP},
year={2020},
pages={405-411},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009102304050411},
isbn={978-989-758-402-2},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 4: VISAPP
TI - Corner Detection in Manifold-valued Images and in Vector Fields
SN - 978-989-758-402-2
IS - 2184-4321
AU - Shestov, A.
AU - Kumskov, M.
PY - 2020
SP - 405
EP - 411
DO - 10.5220/0009102304050411
PB - SciTePress